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Finding the Fourth Proportional to 11,591.64, 17,408.88 and 6,048.84

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Solution

The fourth proportional to 11,591.64, 17,408.88 and 6,048.84 is: 9,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.64 : 17,408.88 = 6,048.84 : x
  2. Step 2: Convert to fraction form
    11,591.64/17,408.88 = 6,048.84/x
  3. Step 3: Cross multiply
    11,591.64x = 17,408.88 × 6,048.84
  4. Step 4: Simplify right side
    11,591.64x = 105,303,529.70
  5. Step 5: Solve for x
    x = 105,303,529.70/11,591.64
  6. Step 6: Final answer
    x = 9,084.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.